germany50-UUM

decomposition aggregations mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	6971	2088	1.42469e-03	hard	network_design	628490	germany50-UUM.mps.gz

Imported from the MIPLIB2010 submissions.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	6971	6971
Constraints	2088	2088
Binaries	0	0
Integers	88	88
Continuous	6883	6883
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00142469	0.00142469
Nonzeroes	20737	20737

Constraint Classification Properties
	Original	Presolved
Total	2088	2088
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	8	8
Precedence	0	0
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	0	0
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	1992	1992
General Linear	88	88
Indicator	0	0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

Nonzero entries of original problem

Nonzero entries after trivial presolving

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

	value	min	median	mean	max
Components	1.612784
Constraint %		2.39464	2.39464	2.39464	2.39464
Variable %		2.39564	2.46844	2.46736	2.49606
Score	0.934210

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion

ID	Objective	Exact	Submitter	Date	Description
3	628490	628490	Hans Mittelmann	2021-12-02	Solved with Gurobi 9.5.0rc5 using 80 threads in 37 hours.
2	628490		Robert Ashford and Alkis Vazacopoulus	2019-12-18	Found using ODH\|CPlex
1	628920	628920	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to germany50-UUM in the collection. This similarity analysis is based on 100 scaled instance features describing properties of the variables, objective function, bounds, constraints, and right hand sides.

Instance	Status	Variables	Binaries	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
neos-1420790	open	4926	540	4386	2310	12720	NEOS Server Submission	neos-pseudoapplication-9	3119.806001594*	decomposition set_partitioning mixed_binary
neos-1420546	open	26055	1125	24930	12671	67959	NEOS Server Submission	neos-pseudoapplication-9	22948.10433777*	decomposition set_partitioning mixed_binary
neos-3665875-lesum	easy	3128	320	2808	3184	10640	Jeff Linderoth	neos-pseudoapplication-9	3274.81	benchmark_suitable set_covering invariant_knapsack mixed_binary
zeil	open	70116	5314	64802	81558	1628941	Andreas Bärmann	–	1086.261999999988*	precedence variable_bound mixed_binary
neos-3660371-kurow	easy	4722	144	4578	4758	12912	Jeff Linderoth	neos-pseudoapplication-9	2270.85	benchmark_suitable aggregations precedence variable_bound set_partitioning invariant_knapsack mixed_binary general_linear

Reference

No bibliographic information available